Question

A bag contains 7 red balls and 3 white balls. Andrew, Betsy, Cam and Doug, in that order are going to randomly pick a ball out of the bag and not replace it. The first person to draw a white ball wins $160. What is the probability that Doug will win the S160?

Answer 1

3/7 (the correct option is not there)

Step-by-step explanation

There are 7 red balls and 3 white balls in the bag.

To find the probability of Doug being the first to draw the white ball, we have to assume that Andrew, Betsy and Cam all draw red balls.

There are a total of 10 balls there.

After Andrew Betsy and Doug pick their balls, there will be 7 balls left, that is:

4 red balls and 3 white balls.

Ther probaility of Doug picking the white ball will therefore be the number of white balls divided by the total number of balls.

That is:

P(Doug) = 3/7

That is the probability that Doug will win the $160.